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Factorisation of Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSFactorisation of Polynomials2 Marks
Question
Factorise:$16x^4 + 54x$
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Answer

$16x^4 + 54x$
$= 2x(8x 3 + 27)$
$= 2x[(2x)^3 + (3)^3]$ Since $a^3 + b^3 = (a + b)(a^2 - a \times b + b^2)$
$= 2x(2x + 3)[(2x)^2 - 2x \times 3 + 3^2]$
$= 2x(2x+3)(4x^2 -6x +9)$

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